Strongly absolute stability of Lur'e type differential-algebraic systems

[摘要] In this paper, we consider Lur'e type differential-algebraic systems (LDS) and introduce the concept of strongly absolute stability. Such a notion is a generalization of absolute stability for Lur'e type standard state-space systems (LSS). By a Lur'e type Lyapunov function, we derive an LMI based stability criterion for LDS to be strongly absolutely stable. Using extended strictly positive realness (ESPR), we present the frequency-domain interpretation of the obtained criterion, by which we simplify the criterion and show that the criterion is a generalization of the well-known Popov criterion. Finally, we illustrate the effectiveness of the main results by a numerical example. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-01

[关键词] Lur'e type systems;differential-algebraic systems;strongly absolute stability;Popov criterion;linear matrix inequality (LMI)